Solve (b+a)(2b-a)(a-b)^2/(b-a)(b^2-a^2)(2b-a)

$$\frac { ( b + a ) ( 2 b - a ) ( a - b ) ^ { 2 } } { ( b - a ) ( b ^ { 2 } - a ^ { 2 } ) ( 2 b - a ) }$$

Evaluate

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Short Solution Steps

Cancel out -a+2b in both numerator and denominator.

$$\frac{\left(a+b\right)\left(a-b\right)^{2}}{\left(-a+b\right)\left(-a^{2}+b^{2}\right)}$$

Factor the expressions that are not already factored.

$$\frac{\left(a+b\right)\left(a-b\right)^{2}}{\left(a-b\right)\left(-a+b\right)\left(-a-b\right)}$$

Extract the negative sign in a+b.

$$\frac{-\left(-a-b\right)\left(a-b\right)^{2}}{\left(a-b\right)\left(-a+b\right)\left(-a-b\right)}$$

Cancel out \left(a-b\right)\left(-a-b\right) in both numerator and denominator.

$$\frac{-\left(a-b\right)}{-a+b}$$

Expand the expression.

$$\frac{-a+b}{-a+b}$$

Cancel out -a+b in both numerator and denominator.

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Factor

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